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Finding the Fourth Proportional to 9,684.09, 13,371.48 and 7,037.82

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Solution

The fourth proportional to 9,684.09, 13,371.48 and 7,037.82 is: 9,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.09 : 13,371.48 = 7,037.82 : x
  2. Step 2: Convert to fraction form
    9,684.09/13,371.48 = 7,037.82/x
  3. Step 3: Cross multiply
    9,684.09x = 13,371.48 × 7,037.82
  4. Step 4: Simplify right side
    9,684.09x = 94,106,069.37
  5. Step 5: Solve for x
    x = 94,106,069.37/9,684.09
  6. Step 6: Final answer
    x = 9,717.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.